87442901568 has 672 divisors, whose sum is σ = 295768166400. Its totient is φ = 25291284480.

The previous prime is 87442901561. The next prime is 87442901599. The reversal of 87442901568 is 86510924478.

It is a happy number.

87442901568 is a `hidden beast` number, since 8 + 74 + 4 + 2 + 9 + 0 + 1 + 568 = 666.

It is a super-2 number, since 2×87442901568² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (87442901561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 688526721 + ... + 688526847.

It is an arithmetic number, because the mean of its divisors is an integer number (440131200).

Almost surely, 2^87442901568 is an apocalyptic number.

87442901568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87442901568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147884083200).

87442901568 is an abundant number, since it is smaller than the sum of its proper divisors (208325264832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87442901568 is a wasteful number, since it uses less digits than its factorization.

87442901568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 87442901568 in words is "eighty-seven billion, four hundred forty-two million, nine hundred one thousand, five hundred sixty-eight".